Least Common Multiple of 1120 and 1124

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1120 and 1124 the smallest integer that is 314720 that is divisible by both numbers.

Least Common Multiple (LCM) of 1120 and 1124 is 314720.

LCM(1120,1124) = 314720

LCM of 1120 and 1124

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 1120 and 1124

LCM of 1120 and 1124 is 314720

Least common multiple can be found by multiplying the highest exponent prime factors of 1120 and 1124. First we will calculate the prime factors of 1120 and 1124.

Prime Factorization of 1120


2 1120
2 560
2 280
2 140
2 70
5 35
7 7
1

Prime factors of 1120 are 2, 5,7. Prime factorization of 1120 in exponential form is:

1120 = 25×51×71

Prime Factorization of 1124


2 1124
2 562
281 281
1

Prime factors of 1124 are 2,281. Prime factorization of 1124 in exponential form is:

1124 = 22×2811

Now multiplying the highest exponent prime factors to calculate the LCM of 1120 and 1124.

LCM(1120,1124) = 25×51×71×2811
LCM(1120,1124) = 314720

Factors of 1120

List of positive integer factors of 1120 that divides 1120 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 70, 80, 112, 140, 160, 224, 280, 560, 1120

Factors of 1124

List of positive integer factors of 1124 that divides 1124 without a remainder.

1, 2, 4, 281, 562, 1124

Least Common Multiple of 1120 and 1124 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1120 and 1124, than apply into the LCM equation.

GCF(1120,1124) = 4
LCM(1120,1124) = ( 1120 × 1124) / 4
LCM(1120,1124) = 1258880 / 4
LCM(1120,1124) = 314720

Properties of LCM 1120 and 1124

(i) The LCM of 1124 and 1120 is associative

LCM of 1120 and 1124 = LCM of 1124 and 1120

Related Least Common Multiples of 1120

Related Least Common Multiples of 1124

Frequently Asked Questions on LCM of 1120 and 1124

1. What is the LCM of 1120 and 1124?

Answer: LCM of 1120 and 1124 is 314720.

2. What are the Factors of 1120?

Answer: Factors of 1120 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 70, 80, 112, 140, 160, 224, 280, 560, 1120. There are 24 integers that are factors of 1120. The greatest factor of 1120 is 1120.

3. What are the Factors of 1124?

Answer: Factors of 1124 are 1, 2, 4, 281, 562, 1124. There are 6 integers that are factors of 1124. The greatest factor of 1124 is 1124.

4. How to Find the LCM of 1120 and 1124?

Answer:

Least Common Multiple of 1120 and 1124 = 314720

Step 1: Find the prime factorization of 1120

1120 = 2 x 2 x 2 x 2 x 2 x 5 x 7

Step 2: Find the prime factorization of 1124

1124 = 2 x 2 x 281

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 314720 = 2 x 2 x 2 x 2 x 2 x 5 x 7 x 281

Step 4: Therefore, the least common multiple of 1120 and 1124 is 314720.